If Y = 3u + 2 and U = $\frac { t } { t + 1 }$

question 26

Multiple Choice

If y = 3u + 2 and u = $\frac { t } { t + 1 }$ , find $\frac { d y } { d t }$ .

• A) \(\frac { 1 } { ( 3 u + 2 ) ^ { 2 } }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(\frac { 1 } { ( t + 1 ) ^ { 2 } }\)
• D) \(\frac { 3 } { ( t + 1 ) ^ { 2 } }\)

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Definitions:

Grasses

Members of the Poaceae family, these plants are crucial for agriculture and ecosystems, providing food, ground cover, and habitat.

Food Chain

A sequence of organisms each dependent on the next as a source of food, illustrating the flow of energy and nutrients from one organism to another.

Kilocalories

A unit of energy measurement in food, commonly called a calorie, equal to 1,000 real calories or the energy needed to raise the temperature of 1 kilogram of water by 1°C.

Terrestrial Ecosystems

Ecosystems found on land as opposed to aquatic environments, characterized by the organisms that inhabit them and the environment they live in.